From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere
Analysis of PDEs
2019-08-15 v3 Functional Analysis
Abstract
We prove a sharp multiplier theorem of Mihlin-H\"ormander type for the Grushin operator on the unit sphere in , and a corresponding boundedness result for the associated Bochner-Riesz means. The proof hinges on precise pointwise bounds for spherical harmonics.
Keywords
Cite
@article{arxiv.1705.07068,
title = {From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere},
author = {Valentina Casarino and Paolo Ciatti and Alessio Martini},
journal= {arXiv preprint arXiv:1705.07068},
year = {2019}
}
Comments
32 pages